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136207440 = 2433563059
BaseRepresentation
bin10000001111001…
…01110001010000
3100111022001111000
420013211301100
5234332114230
621303222000
73242513145
oct1007456120
9314261430
10136207440
116a981736
1239747900
13222b0025
14141383cc
15be57b60
hex81e5c50

136207440 has 80 divisors (see below), whose sum is σ = 469166400. Its totient is φ = 36321408.

The previous prime is 136207427. The next prime is 136207441. The reversal of 136207440 is 44702631.

136207440 is a `hidden beast` number, since 13 + 6 + 207 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1362074402 = 37104933422707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136207441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29370 + ... + 33689.

It is an arithmetic number, because the mean of its divisors is an integer number (5864580).

Almost surely, 2136207440 is an apocalyptic number.

136207440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136207440 is an abundant number, since it is smaller than the sum of its proper divisors (332958960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136207440 is a wasteful number, since it uses less digits than its factorization.

136207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63081 (or 63069 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 136207440 is about 11670.7943174404. The cubic root of 136207440 is about 514.5176493533.

The spelling of 136207440 in words is "one hundred thirty-six million, two hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 63059 126118 189177 252236 315295 378354 504472 567531 630590 756708 945885 1008944 1135062 1261180 1513416 1702593 1891770 2270124 2522360 2837655 3026832 3405186 3783540 4540248 5044720 5675310 6810372 7567080 8512965 9080496 11350620 13620744 15134160 17025930 22701240 27241488 34051860 45402480 68103720 136207440